Question

Solve the equation, justify your response by showing mathematical steps

Answer 1

1.5

Step-by-step explanation:

First, let us divide both sides by 3. This gives

`10^(2y)=(3600)/(3)`
`10^(2y)=1200`

Taking the log_10 of both sides gives '

`log_(10)\mleft(10^(2y)\mright)=log_(10)\mleft(1200\mright)`
`2y=log_(10)\left(1200\right)`

Since log_10 (1200) = 3.079, the above becomes

`2y=3.079`

finally, dividing both sides by 2 gives

`y=1.54`

which is our answer!